An other goal of the paper is the study of left and right nilpotency, recently introduced in [1]}, of the left semi-braces provided in this paper. In particular, we will show that left cancellative left semi-braces with \(G:=Ker(\lambda _{|_E})\)  are almost never right nilpotent.
On the other hand, a large larte of these left semi-braces are right nil: in this way, we answer in negative to [1]}. Finally, we consider left nilpotency and we provide a family of left nilpotent left semi-braces that is different from the one provided in [1]}
